کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606001 | 1631356 | 2015 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the local and global properties of geodesics in pseudo-Riemannian metrics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the local and global properties of geodesics in pseudo-Riemannian metrics On the local and global properties of geodesics in pseudo-Riemannian metrics](/preview/png/4606001.png)
چکیده انگلیسی
The paper is a study of geodesics in two-dimensional pseudo-Riemannian metrics. Firstly, the local properties of geodesics in a neighborhood of generic parabolic points are investigated. The equation of the geodesic flow has singularities at such points that leads to a curious phenomenon: geodesics cannot pass through such a point in arbitrary tangential directions, but only in certain directions said to be admissible (the number of admissible directions is generically 1 or 3). Secondly, we study the global properties of geodesics in pseudo-Riemannian metrics possessing differentiable groups of symmetries. At the end of the paper, two special types of discontinuous metrics are considered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 39, April 2015, Pages 36–58
Journal: Differential Geometry and its Applications - Volume 39, April 2015, Pages 36–58
نویسندگان
A.O. Remizov,